159509385 has 64 divisors (see below), whose sum is σ = 343180800. Its totient is φ = 68622336.

The previous prime is 159509377. The next prime is 159509411. The reversal of 159509385 is 583905951.

It is not a de Polignac number, because 159509385 - 2³ = 159509377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 159509385.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11101 + ... + 21029.

It is an arithmetic number, because the mean of its divisors is an integer number (5362200).

Almost surely, 2^159509385 is an apocalyptic number.

159509385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

159509385 is an abundant number, since it is smaller than the sum of its proper divisors (183671415).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

159509385 is a wasteful number, since it uses less digits than its factorization.

159509385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9967 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The square root of 159509385 is about 12629.7024905577. The cubic root of 159509385 is about 542.3280660243.

The spelling of 159509385 in words is "one hundred fifty-nine million, five hundred nine thousand, three hundred eighty-five".